Question

what type of number will result from the sum of 2/3 and square root 25

Answer 1

To find the sum of \( \frac{2}{3} \) and \( \sqrt{25} \), we first calculate \( \sqrt{25} \).

\[
\sqrt{25} = 5
\]

Next, we add \( \frac{2}{3} \) and \( 5 \):

\[
\frac{2}{3} + 5
\]

To add these two numbers, we need to express \( 5 \) as a fraction with a denominator of \( 3 \):

\[
5 = \frac{5 \times 3}{1 \times 3} = \frac{15}{3}
\]

Now we can add the fractions:

\[
\frac{2}{3} + \frac{15}{3} = \frac{2 + 15}{3} = \frac{17}{3}
\]

Thus, the result of the sum is \( \frac{17}{3} \), which is a rational number.